Abstract
Abstract Hitherto, it is well known that complex PT-symmetric Scarf II has real discrete spectrum in the parametric domain of unbroken PT-symmetry. We reveal new interesting complex, non-PT-symmetric parametric domains of this versatile potential, V ( x ) , where the spectrum is again discrete and real. Showing that the Hamiltonian, p 2 / 2 μ + V ( x ) , in the new cases is pseudo-Hermitian could be challenging, if possible.
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